Give the most specific name for the quadrilateral Explain your reasoning. kite; Two pairs of consecutive sides are congruent and opposite sides are congruent. kite; Four congruent sides. kite; Two pairs of consecutive sides are congruent and opposite sides are not congruent. kite; Two pairs of consecutive sides are not congruent and opposite sides are congruent.

To determine the most specific name for the quadrilateral RSTU, we need to analyze the given side lengths and apply the definitions of different types of quadrilaterals.Step 1: Analyze the given side lengths.We are given that RS = 50, ST = 50, TU = 51, and RU = 51.Step 2: Apply the definition of a kite.A kite is a quadrilateral with two distinct pairs of adjacent (consecutive) sides that are congruent. This means that the quadrilateral has two pairs of sides that are the same length, and these pairs are next to each other.Step 3: Check if RSTU meets the definition of a kite.From the given side lengths, we can see that RS = ST and TU = RU. This means we have two pairs of consecutive sides that are congruent: RS and ST form one pair, and TU and RU form the second pair.Step 4: Determine if opposite sides are congruent.In a kite, opposite sides are generally not congruent. Since RS and ST are both 50, and TU and RU are both 51, the opposite sides are not congruent (RS is not equal to TU, and ST is not equal to RU).Step 5: Choose the correct description.Based on the information provided, the most specific name for the quadrilateral RSTU is a kite because it has two pairs of consecutive sides that are congruent (RS = ST and TU = RU), and the opposite sides are not congruent.Final Answer:The most specific name for the quadrilateral RSTU is a kite; Two pairs of consecutive sides are congruent and opposite sides are not congruent.